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AIMS Review 7 – Number Sense
Name__________________________________
Per________
Properties of Addition/Multiplication, Infinite/Finite, Number Sets
(1-12) Which property a, b, c, d, or e is illustrated below?
a) Associative Property
b) Commutative Property
d) Inverse Property
e) Identity Property
c) Distributive Property
1) (3  5)  2  3  (5  2)
2) 4  5  5  4
3) 4  0  4
5) 3  1  3
6) (3  2)  4  3  (2  4)
7)
9) 2 x  6  2( x  3)
10) 8  1  8
11)  7  0  7
3 5
 1
5 3
4) 3( x  1)  3x  3
8) 4  (4)  0
12) 18 
1
1
18
(13-21) Describe the following sets of numbers as finite or infinite.
13)  7,3,1,5,...
14)  1,0,1,2,3,...
17) ...  2,1,0,1,2,...
18) 0,1,2
15) 3,1,0,2,...
19) {factors of 20}
16) ...4,5,6,7,...
20) {multiples of 5}
21) {even numbers}
(22-27) Describe the following sets of numbers as finite or infinite and list them.
22) {whole numbers}
23) {natural numbers}
24) {rational numbers}
25) {irrational numbers}
26) {integers}
27) {natural numbers between 1 and 10}
(28-32) Which set(s) does the number belong to (whole, natural, integer, rational, irrational or real)?
28) -7
29) ½
30) 0
31) .5
32)
2
AIMS Released Questions (Number Sense)
1. Let n be any even integer.
Which of the following is always
true about (n + 5)?
A (n + 5) is an odd integer.
B (n + 5) is an even integer.
C (n + 5) is a prime integer.
D (n + 5) is the same as (n - 5).
2. The set of realy numbers shown
3. Which of the following is an infinite
below is a subset of which of the
following?
set?
4. Which set contains an irrational
number?
5. Which property of real numbers
is illustrated below?
A
D
A Associative Property of Addition
B Associative Property of
Multiplication
C Distributive Property
D Commutative Property of
Multiplication
7. Which set of numbers is finite?
8. Which of the following addition
B
C
A {even numbers between 1 and 89}
B {real numbers greater than 1}
C {rational numbers between 1 and 2}
D {whole numbers with tens digits at
zero}
A
B
C
D
A integers between -5 and 10
B whole numbers between -5 and 10
C natural numbers between -5 and 10
D rational numbers between -5 and 10
rationals
irrationals
integers
whole numbers
properties justifies the statement
below?
2+0=2
A Commutative
B Identity
C Inverse
D Closure
10. Which of the following sets of
numbers represents an infinite set?
11. Which of the following sets of
numbers is not infinite?
A {natural numbers between 0 and 10}
B
C {whole numbers}
D {10, 9, 8}
A {natural numbers less than 8}
B {odd integers less than 8}
C {rational numbers less than 8}
D {real numbers less than 8}
13. Which statement is true?
A
B
C
D
14. Between which two
consecutive integers is
A
B
C
D
2 and 3
3 and 4
4 and 5
5 and 6
6. The set of real numbers shown
below is a subset of which of the
following?
A rationals
B irrationals
C integers
D whole numbers
9. Which addition property is
illustrated by the following
statement?
0 3 3
A Inverse
B Identity
C Distributive
D Commutative
12. Let n be any irrational number.
Which of the following is always
true about ?
A
B
C
D
is a whole number
is an odd integer
is a prime number
is an irrational number
15. Which statement is true?
?
A
B
C
D